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2 years ago

Which represents the number 16,807 in exponential form

Mathematics

1 answer:

Naya [18.7K]2 years ago

3 0

7^5. Found by trial and error.

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Factorise 5x 2 + 20x

pychu [463]

Answer:

5x^2 + 20x = 5x(x + 4)

Step-by-step explanation:

Here, we want to factorize;

5x^2 + 20x

To do this, we start by writing the common factors

The common actor that we can see which is in the form of the gcf of both is 5x

Thus, the factorization will be;

5x^2 + 20x = 5x( x + 4)

7 0

2 years ago

arlik [135]

Given:

In a right angle triangle θ is an acute angle and $\tan\theta =\dfrac{3}{5}$ .

To find:

The value of $\cos \theta$ .

Solution:

In a right angle triangle,

$\tan \theta=\dfrac{Perpendicular}{Base}$

We have,

$\tan\theta =\dfrac{3}{5}$

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.

By using Pythagoras theorem,

$Hypotenuse=\sqrt{Perpendicular^2+base^2}$

$Hypotenuse=\sqrt{(3x)^2+(5x)^2}$

$Hypotenuse=\sqrt{9x^2+25x^2}$

$Hypotenuse=\sqrt{34x^2}$

$Hypotenuse=x\sqrt{34}$

In a right angle triangle,

$\cos \theta=\dfrac{Base}{Hypotenuse}$

$\cos \theta=\dfrac{5x}{x\sqrt{34}}$

$\cos \theta=\dfrac{5}{\sqrt{34}}$

Therefore, the value of $\cos \theta$ is $\dfrac{5}{\sqrt{34}}$ .

8 0

2 years ago

$7230 for 3.25% in 12 years

IceJOKER [234]

$2,819.70 is the answer

You multiply .0325×12×72.30

6 0

2 years ago

Step by steppleaseee<br> Systems of Equations<br> x+2y=6<br> 5x+3y=2

horrorfan [7]

Answer:

Step-by-step explanation:

-5x - 10y = -30

5x + 3y = 2

-7y = -28

y = 4

x + 8 = 6

x = -2

(-2, 4)

3 0

2 years ago

Am I correct on number 3? If not whats the correct answer? And what is the answer for number 4? Will be marking brainliest!!

timama [110]

Answer for number 4 is $\frac{\bold2}{\bold3}$ hour.

Step-by-step explanation:

Maximum hour spent for all homework (English homework + math homework) is 2 hours.

Let us assume the hours spent for English homework be 'e'.

It is given that:

(Hours spent for math homework) = 2 × (Hours spent for English homework)

Hours spent for math homework = 2 × e = 2e

Total hours spent = (Hours spent for math homework) + (Hours spent for English homework)

Total hours spent = 2e + e = 3e

2 = 3e

3e = 2

∴ e = $\frac{\bold2}{\bold3}$

Therefore number of hours spent on English homework is equal to $\frac{\bold2}{\bold3}$ hours.

8 0

3 years ago